We　propose　a　simple　and　fast　scheme　for　producing　maximally　entangled　states　for　many　trapped　ions.　The　scheme　only　requires　a　single　laser　beam　tuned　to　the　ionic　carrier　frequency.　Our　scheme　works　in　the　regime,　where　the　Rabi　frequency　is　of　the　order　of　the　vibrational　frequency.　Our　scheme　operates　in　a　fast　way　and　is　insensitive　to　heating　of　vibrational　motion,　which　is　important　in　view　of　decoherence.　Thus,　our　scheme　opens　promising　prospects　for　entanglement　engineering　in　a　scalable　way.　©　2002　The　American　Physical　Society.